Pseudo-Differential Operators and Symmetries - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pseudo-Differential Operators and Symmetries write by Michael Ruzhansky. This book was released on 2009-12-29. Pseudo-Differential Operators and Symmetries available in PDF, EPUB and Kindle. This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.
Advances in Pseudo-Differential Operators
Advances in Pseudo-Differential Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Pseudo-Differential Operators write by Ryuichi Ashino. This book was released on 2012-12-06. Advances in Pseudo-Differential Operators available in PDF, EPUB and Kindle. This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.
Elementary Introduction to the Theory of Pseudodifferential Operators
Elementary Introduction to the Theory of Pseudodifferential Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elementary Introduction to the Theory of Pseudodifferential Operators write by Xavier Saint Raymond. This book was released on 2018-02-06. Elementary Introduction to the Theory of Pseudodifferential Operators available in PDF, EPUB and Kindle. In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.
Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations
Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations write by Bert-Wolfgang Schulze. This book was released on 2010-03-01. Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations available in PDF, EPUB and Kindle. Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.
Elementary Introduction to the Theory of Pseudodifferential Operators
Elementary Introduction to the Theory of Pseudodifferential Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elementary Introduction to the Theory of Pseudodifferential Operators write by Xavier Saint Raymond. This book was released on 2018-02-06. Elementary Introduction to the Theory of Pseudodifferential Operators available in PDF, EPUB and Kindle. In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.
